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Volumn 23, Issue 1, 2013, Pages 169-187

Bayesian asymptotics with misspecified models

Author keywords

Asymptotics; Consistency; Misspecified model

Indexed keywords


EID: 84881226124     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: 10.5705/ss.2010.239     Document Type: Article
Times cited : (34)

References (23)
  • 1
    • 0033438067 scopus 로고    scopus 로고
    • The consistency of posterior distributions in nonparametric problems
    • Barron, A., Schervish, M. J. and Wasserman, L. (1999). The consistency of posterior distributions in nonparametric problems. Ann. Statist. 27, 536-561.
    • (1999) Ann. Statist. , vol.27 , pp. 536-561
    • Barron, A.1    Schervish, M.J.2    Wasserman, L.3
  • 2
    • 0002269120 scopus 로고
    • Limiting behaviour of posterior distributions when the model is incorrect
    • Corrigendum 37, 745-746
    • Berk, R. H. (1966). Limiting behaviour of posterior distributions when the model is incorrect. Ann. Math. Statist. 37, 51-58. [Corrigendum 37, 745-746]
    • (1966) Ann. Math. Statist. , vol.37 , pp. 51-58
    • Berk, R.H.1
  • 4
    • 0032335655 scopus 로고    scopus 로고
    • Asymptotic behavior of Bayes estimates under possibly incorrect models
    • Bunke, O. and Milhaud, X. (1998). Asymptotic behavior of Bayes estimates under possibly incorrect models. Ann. Statist. 26, 617-644.
    • (1998) Ann. Statist. , vol.26 , pp. 617-644
    • Bunke, O.1    Milhaud, X.2
  • 5
    • 0033074585 scopus 로고    scopus 로고
    • Posterior consistency of Dirichlet mixtures in density estimation
    • Ghosal, S., Ghosh, J. K. and Ramamoorthi, R. V. (1999). Posterior consistency of Dirichlet mixtures in density estimation. Ann. Statist. 27, 143-158.
    • (1999) Ann. Statist. , vol.27 , pp. 143-158
    • Ghosal, S.1    Ghosh, J.K.2    Ramamoorthi, R.V.3
  • 6
    • 33847339319 scopus 로고    scopus 로고
    • Posterior consistency of Gaussian process prior for nonparametric binary regression
    • Ghosal, S. and Roy, A. (2006). Posterior consistency of Gaussian process prior for nonparametric binary regression. Ann. Statist. 34, 2413-2429.
    • (2006) Ann. Statist. , vol.34 , pp. 2413-2429
    • Ghosal, S.1    Roy, A.2
  • 7
    • 33746227433 scopus 로고    scopus 로고
    • Misspecification in infinite-dimensional Bayesian statistics
    • Kleijn, B. J. K. and van der Vaart, A. W. (2006). Misspecification in infinite-dimensional Bayesian statistics. Ann. Statist. 34, 837-887.
    • (2006) Ann. Statist. , vol.34 , pp. 837-887
    • Kleijn, B.J.K.1    Van Der-Vaart, A.W.2
  • 8
    • 0001742255 scopus 로고    scopus 로고
    • The logistic normal distribution for Bayesian, nonparametric, predictive densities
    • Lenk, P. J. (1998): The logistic normal distribution for Bayesian, nonparametric, predictive densities. J. Amer. Statist. Assoc. 83, 509-516.
    • (1998) J. Amer. Statist. Assoc. , vol.83 , pp. 509-516
    • Lenk, P.J.1
  • 9
    • 0001450917 scopus 로고
    • Towards a practicable Bayesian nonparametric density estimator
    • Lenk, P. J. (1991): Towards a practicable Bayesian nonparametric density estimator. Biometrika 78, 531-543.
    • (1991) Biometrika , vol.78 , pp. 531-543
    • Lenk, P.J.1
  • 10
    • 0000042719 scopus 로고
    • Density estimation, stochastic processes and prior information (with discussion)
    • Leonard, T. (1978). Density estimation, stochastic processes and prior information (with discussion). J. Roy. Statist. Soc. Ser. B 40, 113-146.
    • (1978) J. Roy. Statist. Soc. Ser. B , vol.40 , pp. 113-146
    • Leonard, T.1
  • 12
    • 33947426775 scopus 로고    scopus 로고
    • On divergence and informations in statistics and information theory
    • Liese, F. and Vajda, I. (2006). On divergence and informations in statistics and information theory. IEEE Trans. Inform. Theory 52, 4394-4412.
    • (2006) IEEE Trans. Inform. Theory , vol.52 , pp. 4394-4412
    • Liese, F.1    Vajda, I.2
  • 13
    • 29144484266 scopus 로고    scopus 로고
    • On consistency of nonparametric normal mixtures for Bayesian density estimation
    • Lijoi, A., Prünster, I. and Walker, S. G. (2005). On consistency of nonparametric normal mixtures for Bayesian density estimation. J. Amer. Statist. Assoc. 100, 1292-1296.
    • (2005) J. Amer. Statist. Assoc. , vol.100 , pp. 1292-1296
    • Lijoi, A.1    Prünster, I.2    Walker, S.G.3
  • 14
    • 0035632525 scopus 로고    scopus 로고
    • Convex models, MLE and misspecification
    • Patilea, V. (2001). Convex models, MLE and misspecification. Ann. Statist. 29, 94-123.
    • (2001) Ann. Statist. , vol.29 , pp. 94-123
    • Patilea, V.1
  • 15
    • 12844274031 scopus 로고
    • Large deviation probabilities for certain nonparametric maximum likelihood estimators
    • Pfanzagl, J. (1990). Large deviation probabilities for certain nonparametric maximum likelihood estimators. Ann. Statist. 18, 1868-1877.
    • (1990) Ann. Statist. , vol.18 , pp. 1868-1877
    • Pfanzagl, J.1
  • 16
    • 0036003375 scopus 로고    scopus 로고
    • Consistency of Bernstein polynomial posteriors
    • Petrone, S. and Wasserman, L. (2002). Consistency of Bernstein polynomial posteriors. J. R. Stat. Soc. Ser. B 64, 79-100.
    • (2002) J. R. Stat. Soc. Ser. B , vol.64 , pp. 79-100
    • Petrone, S.1    Wasserman, L.2
  • 18
    • 84988300338 scopus 로고    scopus 로고
    • Dynamics of Bayesian updating with dependent data and misspecified models
    • Shalizi, C. R. (2009). Dynamics of Bayesian updating with dependent data and misspecified models. Electron. J. Stat. 3, 1039-1074
    • (2009) Electron. J. Stat. , vol.3 , pp. 1039-1074
    • Shalizi, C.R.1
  • 19
    • 33748437204 scopus 로고    scopus 로고
    • Posterior consistency of Gaussian process priors in density estimation
    • Tokdar, S. and Ghosh, J. (2007). Posterior consistency of Gaussian process priors in density estimation. J. Statist. Plann. Inference 137, 34-42.
    • (2007) J. Statist. Plann. Inference , vol.137 , pp. 34-42
    • Tokdar, S.1    Ghosh, J.2
  • 21
    • 51049088387 scopus 로고    scopus 로고
    • Rates of contraction of posterior distributions based on Gaussian process priors
    • van der Vaart, A. W. and van Zanten, J. H. (2008). Rates of contraction of posterior distributions based on Gaussian process priors. Ann. Statist. 36, 1435-1463.
    • (2008) Ann. Statist. , vol.36 , pp. 1435-1463
    • Van Der-Vaart, A.W.1    Van Zanten, J.H.2
  • 22
    • 4043073169 scopus 로고    scopus 로고
    • New approaches to Bayesian consistency
    • Walker, S. G. (2004). New approaches to Bayesian consistency. Ann. Statist. 32, 2028-2043.
    • (2004) Ann. Statist. , vol.32 , pp. 2028-2043
    • Walker, S.G.1
  • 23
    • 27944483363 scopus 로고    scopus 로고
    • Data tracking and the understanding of Bayesian consistency
    • Walker, S. G., Lijoi, A. and Prünster, I. (2005). Data tracking and the understanding of Bayesian consistency. Biometrika 92, 765-778.
    • (2005) Biometrika , vol.92 , pp. 765-778
    • Walker, S.G.1    Lijoi, A.2    Prünster, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.